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Finding the Fourth Proportional to 420,659.76, 630,991.28 and 105,117

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Solution

The fourth proportional to 420,659.76, 630,991.28 and 105,117 is: 157,675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,659.76 : 630,991.28 = 105,117 : x
  2. Step 2: Convert to fraction form
    420,659.76/630,991.28 = 105,117/x
  3. Step 3: Cross multiply
    420,659.76x = 630,991.28 × 105,117
  4. Step 4: Simplify right side
    420,659.76x = 66,327,910,379.76
  5. Step 5: Solve for x
    x = 66,327,910,379.76/420,659.76
  6. Step 6: Final answer
    x = 157,675.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.